• Source: Stericated 24-cell honeycomb

In four-dimensional Euclidean geometry, the 24.3/info/stericated" target="_blank">stericated 24-cell honeycomb (or 24.3/info/stericated" target="_blank">stericated 16-cell honeycomb) is a uniform space-filling honeycomb. It can be seen as a sterication of the regular 24-cell honeycomb, containing 24-cell, 16-cell, octahedral prism, tetrahedral prism, and 3-3 duoprism cells.




Alternate names


24.3/info/stericated" target="_blank">Stericated icositetrachoric/hexadecaachoric tetracomb/honeycomb
Small cellated demitesseractic tetracomb (scicot)




Related honeycombs


The [3,4,3,3], , Coxeter group generates 31 permutations of uniform tessellations, 28 are unique in this family and ten are shared in the [4,3,3,4] and [4,3,31,1] families. The alternation (13) is also repeated in other families.




See also


Regular and uniform honeycombs in 4-space:

Tesseractic honeycomb
16-cell honeycomb
24-cell honeycomb
Rectified 24-cell honeycomb
Snub 24-cell honeycomb
5-cell honeycomb
Truncated 5-cell honeycomb
Omnitruncated 5-cell honeycomb




References


Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 p. 296, Table II: Regular honeycombs
Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [1]
(Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) Model 121 (Wrongly named runcinated icositetrachoric honeycomb)
Klitzing, Richard. "4D Euclidean tesselations". x3o3o4o3x - scicot - O121

Kata Kunci Pencarian:

• Daftar bentuk matematika
• Stericated 24-cell honeycomb
• Tesseractic honeycomb
• Truncated 16-cell honeycomb
• List of polygons, polyhedra and polytopes
• List of mathematical shapes
• Uniform 5-polytope
• Stericated 5-simplexes
• Simplicial honeycomb
• Rectified tesseractic honeycomb
• 5-simplex honeycomb